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With your host, … Mrs. McCumiskey
© David A. Occhino
Category 1
Pyramids &
Prisms
© David A. Occhino
Category 2
Cones
© David A. Occhino
Category 3
Cylinders
© David A. Occhino
Category 4
Spheres
© David A. Occhino
Category 5
Plane Theorems
© David A. Occhino
Category 6
Anything Goes
© David A. Occhino
Pyramids
& Prisms
Cones
Cylinders
Spheres
Plane
Theorems
Anything
Goes
$100
$100
$100
$100
$100
$100
$200
$200
$200
$200
$200
$200
$300
$300
$300
$300
$300
$300
$400
$400
$400
$400
$400
$400
$500
$500
$500
$500
$500
$500
© David A. Occhino
Final Jeopardy
$100
Find the volume of the regular
pyramid below:
Cat 1: $100 Q
© David A. Occhino
$100
Cat 1: $100 A
213.3
© David A. Occhino
Board
$200
Cat 1: $200 Q
Which statement is always true when
describing the characteristics of a
prism?
a) The lateral faces are congruent
b) The edges are all congruent
c) The lateral faces are parallel
d) The lateral edges are congruent and
parallel
© David A. Occhino
$200
Cat 1: $200 A
D
© David A. Occhino
Board
$300
Two prisms have equal volumes. The have
equal altitudes. Which statement must also be
true?
a) The bases of one prism are congruent to
the bases of the other
b) The bases of both prisms have the same
areas
c) The lateral faces of the two prisms are
congruent
d) The bases of one prism are similar to the
bases of the other
Cat 1: $300 Q
© David A. Occhino
$300
Cat 1: $300 A
B
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Board
$400
Find the volume of a regular
pyramid if one side of the base
measure 8cm slant height is 6cm.
Cat 1: $400 Q
Round your answer to the nearest tenth.
© David A. Occhino
$400
Cat 1: $400 A
95.4
© David A. Occhino
Board
$500
Find the volume of the solid below:
Cat 1: $500 Q
© David A. Occhino
$500
Cat 1: $500 A
105
© David A. Occhino
Board
$100
Cat 2: $100 Q
© David A. Occhino
$100
Cat 2: $100 A
© David A. Occhino
Board
$200
Cat 2: $200 Q
© David A. Occhino
$200
Cat 2: $200 A
201
© David A. Occhino
Board
$300
Cat 2: $300 Q
© David A. Occhino
$300
Cat 2: $300 A
B
© David A. Occhino
Board
$400
Cat 2: $400 Q
© David A. Occhino
$400
Cat 2: $400 A
B
© David A. Occhino
Board
$500
Find the lateral area of a cone if
the diameter is 4 in and the
height is 6 in. Round answer to
nearest tenth.
Cat 2: $500 Q
© David A. Occhino
$500
Cat 2: $500 A
39.7
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Board
$100
Cat 3: $100 Q
© David A. Occhino
$100
Cat 3: $100 A
© David A. Occhino
Board
$200
Cat 3: $200 Q
© David A. Occhino
$200
Cat 3: $200 A
© David A. Occhino
Board
$300
Cat 3: $300 Q
A right circular cylinder has a
volume of 1,000 cubic inches and a
height of 8 inches. What is the
radius of the cylinder to the nearest
tenth of an inch?
© David A. Occhino
$300
Cat 3: $300 A
6.3
© David A. Occhino
Board
$400
A right circular cylinder has an
altitude of 11 feet and a radius of 5
feet. What is the lateral area, in
square feet, of the cylinder, to the
nearest tenth?
Cat 3: $500 Q
© David A. Occhino
$400
Cat 3: $500 A
345.6
© David A. Occhino
Board
$500
The volume of a cylinder is 12,566.4
cm3. The height of the cylinder is 8 cm.
Find the radius of the cylinder to the
nearest tenth of a centimeter.
Cat 3: $400 Q
© David A. Occhino
$500
Cat 3: $400 A
22.4
© David A. Occhino
Board
$100
Cat 4: $100 Q
© David A. Occhino
$100
Cat 4: $100 A
© David A. Occhino
Board
$200
Find the volume of a sphere if the
radius is 8 in. Round your answer to
the nearest tenth.
Cat 4: $200 Q
© David A. Occhino
$200
Cat 4: $200 A
2144.7
© David A. Occhino
Board
$300
What would the value of the radius
have to be in order for the volume
and surface area of a sphere to be
equal?
Cat 4: $300 Q
© David A. Occhino
$300
Cat 4: $300 A
3
© David A. Occhino
Board
$400
A sphere has a radius of 9 cm. Find
the surface area and volume of the
sphere. Round your answer to the
nearest centimeter.
Cat 4: $400 Q
© David A. Occhino
$400
Cat 4: $400 A
SA = 1018 cm2
V = 3054
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3
cm
Board
$500
Cat 4: $500 Q
© David A. Occhino
$500
Cat 4: $500 A
4
© David A. Occhino
Board
$100
In three-dimensional space, two planes are
parallel and a third plane intersects both of
the parallel planes. The intersection of the
planes is a
Cat 5: $100 Q
(a) plane (c) pair of parallel lines
(b) point (d) pair of intersecting lines
© David A. Occhino
$100
Cat 5: $100 A
C
© David A. Occhino
Board
$200
In the diagram below, line k is perpendicular to
plane P at point T.
Which statement is true?
(a) Any point in plane P also will be on line k.
(b) Only one line in plane P will intersect line k.
(c) All planes that intersect plane P will pass
through T.
(d) Any plane containing line k is perpendicular to
plane P .
Cat 5: $200 Q
© David A. Occhino
$200
Cat 5: $200 A
D
© David A. Occhino
Board
$300
Line n and line m are coplanar and intersect at
point A. Line r is perpendicular to both lines n
and m at A. Describe the relationship between
lines n, m, and r.
Cat 5: $300 Q
a)Line r is parallel to the plane formed by lines
n and m.
b)Line r is perpendicular to the plane formed
by lines n and m.
c)A right triangle is formed by lines m, n, and r.
d)All the intersections of lines n, m, and r form
right angles.
© David A. Occhino
$300
Cat 5: $300 A
B
© David A. Occhino
Board
$400
Line m is perpendicular to plane A. How
many planes can contain line m and also
be perpendicular to plane A?
Cat 5: $400 Q
a.) 1
b.) 2
c.)0
d.) An infinite number
© David A. Occhino
$400
Cat 5: $400 A
D
© David A. Occhino
Board
$500
Given line segment in plane M and point
C, not on plane m. How many planes
pass through both and through point C
that are perpendicular to ?
Cat 5: $500 Q
a.) 1
b.) 2
c.) 0
d.) An infinite number
© David A. Occhino
$500
Cat 5: $500 A
A
© David A. Occhino
Board
$100
Cat 6: $100 Q
Tim is going to paint a wooden sphere that
has a diameter of 12 inches. Find the
surface area of the sphere, to the nearest
square inch.
© David A. Occhino
$100
Cat 6: $100 A
452
© David A. Occhino
Board
$200
Cat 6: $200 Q
© David A. Occhino
$200
Cat 6: $200 A
3
© David A. Occhino
Board
$300
Cat 6: $300 Q
© David A. Occhino
$300
Cat 6: $300 A
1
© David A. Occhino
Board
$400
Cat 6: $400 Q
© David A. Occhino
$400
Cat 6: $400 A
A
© David A. Occhino
Board
$500
Cat 6: $500 Q
© David A. Occhino
$500
Cat 6: $500 A
2.6
© David A. Occhino
Board
© David A. Occhino
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